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Vector-valued lagrangian and multiobjective fractional programming duality |
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| Authors: | S. Chandra B. D. Craven B. Mond |
| Affiliation: | 1. Mathematics Department , Indian Institute of Technology , Hauz Khas, New Delhi, 110016, India;2. Mathematics Department , University of Melbourne , Parkville, Victoria, 3052, Australia;3. Department of Mathematics , La Trobe University , Bundoora, Victoria, 3083, Australia |
| Abstract: | A class of multiobjective fractional programming problems is considered and duality results are established in terms of properly efficient solutions of the primal and dual programs. Further a vector-valued ratio type Lagrangian is introduced and certain vector saddlepoint results are presented. |
| Keywords: | Fractional programming multiobjective programming duality vector saddlepoints |